Question

What is the solution to the rational equation 4/3 + 2/x+6 = 18/3x+18

Answer 1

lests take x rational on one side

Answer 2

4/3 = 2/x+6 - 18/3x+18

Answer 3

now lets take rhs

Answer 4

cross multiply it
2(3x+18)-18(x+6)/x+6(3x+18)

Answer 5

so will be 6x+36-18x-108/3x^2+18x+18x+108

Answer 6

therefore
4/3 = -12X-72/3X^2+36X+108

Answer 7

Answer Choices:
x = –11

x = –3

x = 3

x = 11

Answer 8

now multiply 3x^2 eq. with 4 and 3 with -12x eq.
12x^2+144x+432 = -36x-216

Answer 9

now its very easy there will be quad. eq.
12x^2+180x+648
now take out common to make it small
x^2+15x+54

Answer 10

now use quadratic formula or split method i prefer the formula so answer will be -3

Answer 11

did u get it

Answer 12

Yes thank youu